Let's assume we have 10x capacity and 10x Wh/$. We'd see 3000 mile Tesla S 2.0s, or more like 2000 mile at super-legal speeds (850 kWh). You'd need Tesla's Supercharger service (likely 90 kW) to recharge overnight, and the battery pack would probably emit enough oxygen while it charges to give you an oxygen high while you sleep : P
And someone somewhere would still whine that they need 3000 miles at 100 mph and EVs "aren't here yet".
For the everyman, we'd see a range of EVs from 100 mile (36 kWh) to 400 mile (150 kWh). The 100 mile EVs would be down in the $12-15k price range and the 400 mile would be around $25k.
Overnight charging service might be 6-12 kW conductive (wireless upgrade). Typical parking spots would have wireless charging pads which the car can auto-negotiate charging access with. You could flip a switch to charge/not charge, or let the car negotiate charging based on SOC and/or destination. Pricing might be metered ($3/hour), flat-rate ($10 to park), or applied towards some club charge account. Interstates would have 48 kW level 3 charging service installed, which would be range from a pretty steep charge (1.5C for 36 kWh cars) to tame (0.33C for 150 kWh).
Ideally, you could also optionally set the car up for power regulation on the grid, where the grid could draw power from the car during peak loads. You would be able to set preferences for how low you're willing to allow the car to be drawn, and either you'd be paid directly or credited so many charge hours in the future (probably 2 hours charging for every 1 hour used to balance the grid demand). A car plugged in for 24h might end up being charged completely for free.
Fantasy scenario? Yeah, maybe so. We need battery improvements still and substantial infrastructure upgrades. I hope the wireless charging standards get set sooner rather than later and the world settles on a level 3 DC charging standard - we need those standards set today so that we can start rolling out infrastructure for tomorrow.